# Harmonic and arithmetic means

The local Utah Department of Child Service office wants to project staffing needs based on current social worker assignments. They have the number of cases per social worker for the following staff:

Mary: 25 John: 35 Ted: 15 Lisa: 45 Anna: 20

Calculate:
a. the harmonic and
b. arithmetic means

h =  24.101
m =  28

### Step-by-step explanation:

$m=\left(25+35+15+45+20\right)\mathrm{/}n=\left(25+35+15+45+20\right)\mathrm{/}5=28$

Did you find an error or inaccuracy? Feel free to write us. Thank you!

Tips to related online calculators
Looking for help with calculating arithmetic mean?
Looking for calculator of harmonic mean?
Looking for a statistical calculator?

#### You need to know the following knowledge to solve this word math problem:

We encourage you to watch this tutorial video on this math problem:

## Related math problems and questions:

• The raw
The raw data presented here are the scores (out of 100 marks) of a market survey regarding the acceptability of new product launched by a company for random sample of 50 respondents: 40 45 41 45 45 30 30 8 48 25 26 9 23 24 26 29 8 40 41 42 39 35 18 25 35
• Standard deviation
Find standard deviation for dataset (grouped data): Age (years) No. Of Persons 0-10 15 10-20 15 20-30 23 30-40 22 40-50 25 50-60 10 60-70 5 70-80 10
• Speed of Slovakian trains
Rudolf decided to take the train from the station 'Ostratice' to 'Horné Ozorovce'. In the train timetables found train Os 5409 : km 0 Chynorany 15:17 5 Ostratice 15:23 15:23 8 Rybany 15:27 15:27 10 Dolné Naštice 15:31 15:31 14 Bánovce nad Bebravou 15:35 1
• Marketing
Year; money spent on advertising; profit 2008 2 12 2009 5 20 2010 7 25 2011 11 26 2012 15 40 1. draw a scatter diagram depicting the data. 2. calculate the Pearson's correlation coefficient. 3. determine the linear regression equation.
• Dataset:
Dataset: 35 22 18 54 22 46 28 31 43 22 14 17 25 19 33 14. 1 Group the data into a grouped distribution using 6 classes of equal width. 2. Determine the mean, median, and mode using the raw data. 3. Draw an Ogive curve corresponding to the data and use it
• Complaints
The table is given: days complaints 0-4 2 5-9 4 10-14 8 15-19 6 20-24 4 25-29 3 30-34 3 1.1 What percentage of complaints were resolved within 2weeks? 1.2 calculate the mean number of days to resolve these complaints. 1.3 calculate the modal number of day
• 5-number summary
Given the following 5-number summary: 11, 19, 24, 30, 48 which of the statistics cannot be determined?
• Statistical XY file
Year; money spent on advertising; profit (three values each row) 2008 2 12 2009 5 20 2010 7 25 2011 11 26 2012 15 40 1. draw a scatter diagram depicting the data. 2. calculate the Pearson's correlation coefficient. 3. determine the linear regression equat
• Stock market
Simon one day decided to invest € 62000 to the stock market. After six months, he invested July 25 stock markets fell by 47%. Fortunately for Simon, from July 25 5 to October 25 his shares have risen by 39%. Simon is then: ...
• Energy saving
They were released three different, independent inventions saving 20%, 24% and 15% energy. Some considered that while the use of these inventions, the total savings will be 20% + 24% + 15% = 59%. Is this true? How much percent of energy will save all thre
• Box and whisker plot
Construct a box and whisker plot for the given data. 56, 32, 54, 32, 23, 67, 23, 45, 12, 32, 34, 24, 36, 47, 19, 43
• Range, mean, median
Ages of 7 employees in an office are given below 32, 42, 30, 32, 33, 23, 32 Find a) Range b) Mean c) Median
• Working together on project
Two employees working on the project. First make it alone for 20 days the second for 24 days. How many days will take to complete project if 5 days they work together then first will take two days holiday and after returning they completes a project toget
• Insert 5
Insert five harmonic means between 1/2 and 1/26
• Word problem
348 students were on holiday in Hungary. 133 bought pizza, chips 28 pupils, 25 pupils bought soda, butter 26 pupils, 15 pupils fruits, vegetables 29 students. How much pay for all the food, if every meal cost 5.3 euros?
• Trapezoid
trapezoid ABCD a = 35 m, b=28 m c = 11 m and d = 14 m. How to calculate its area?
• Harmonic mean
If x, y, z form a harmonic progression, then y is the harmonic mean of x and z. Find the harmonic mean of the numbers 6 and 5.